Class information for:
Level 1: DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18397 553 20.7 37%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
18397 1                   DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES 553

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DIFFERENTIAL ALGEBRAIC EQUATIONS authKW 1671332 25% 22% 137
2 MATEMAT LICADA TECNOL INFORMAC address 816761 5% 53% 28
3 CONSISTENT INITIAL VALUES authKW 513935 2% 85% 11
4 CONSISTENT INITIALIZATION authKW 445407 2% 73% 11
5 DAE authKW 435649 4% 33% 24
6 TRACTABILITY INDEX authKW 351633 2% 58% 11
7 DIFFERENTIAL ALGEBRAIC EQUATIONS DAES authKW 338185 3% 44% 14
8 IMPASSE POINTS authKW 331299 1% 100% 6
9 SEMISTATE MODEL authKW 331299 1% 100% 6
10 PADE SERIES authKW 319460 2% 64% 9

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 11244 56% 0% 311
2 Computer Science, Interdisciplinary Applications 1459 14% 0% 79
3 Computer Science, Software Engineering 740 9% 0% 49
4 Mathematics 319 12% 0% 65
5 Mathematics, Interdisciplinary Applications 309 6% 0% 32
6 Engineering, Electrical & Electronic 296 16% 0% 87
7 Engineering, Chemical 190 9% 0% 50
8 Automation & Control Systems 135 4% 0% 20
9 Physics, Mathematical 95 4% 0% 24
10 Computer Science, Theory & Methods 89 4% 0% 23

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATEMAT LICADA TECNOL INFORMAC 816761 5% 53% 28
2 MATEMAT LICADA TT 1 110433 0% 100% 2
3 MATEMAT LICADA TECNOL INFORMAT 99387 1% 60% 3
4 DYNAM SYST CONTROL THEORY 86269 1% 31% 5
5 PEDAGOG TECHNOL EDUC 73621 0% 67% 2
6 TEACHING GRP MATH 70989 1% 43% 3
7 IWRMM 63099 1% 29% 4
8 AG ANGEW MATH NUMER 55216 0% 100% 1
9 BATH NONLINEAR MECH 55216 0% 100% 1
10 COMP AUTOM 55216 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS 39279 3% 4% 19
2 INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS 11230 3% 1% 18
3 NUMERICAL ALGORITHMS 10004 3% 1% 18
4 APPLIED NUMERICAL MATHEMATICS 8255 4% 1% 21
5 COMPUTERS & CHEMICAL ENGINEERING 7692 5% 0% 30
6 APPLIED MATHEMATICS AND COMPUTATION 5524 8% 0% 42
7 BIT NUMERICAL MATHEMATICS 5320 2% 1% 12
8 SIAM JOURNAL ON SCIENTIFIC COMPUTING 3573 3% 0% 15
9 INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION 2951 1% 1% 6
10 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2421 2% 0% 9

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 DIFFERENTIAL ALGEBRAIC EQUATIONS 1671332 25% 22% 137 Search DIFFERENTIAL+ALGEBRAIC+EQUATIONS Search DIFFERENTIAL+ALGEBRAIC+EQUATIONS
2 CONSISTENT INITIAL VALUES 513935 2% 85% 11 Search CONSISTENT+INITIAL+VALUES Search CONSISTENT+INITIAL+VALUES
3 CONSISTENT INITIALIZATION 445407 2% 73% 11 Search CONSISTENT+INITIALIZATION Search CONSISTENT+INITIALIZATION
4 DAE 435649 4% 33% 24 Search DAE Search DAE
5 TRACTABILITY INDEX 351633 2% 58% 11 Search TRACTABILITY+INDEX Search TRACTABILITY+INDEX
6 DIFFERENTIAL ALGEBRAIC EQUATIONS DAES 338185 3% 44% 14 Search DIFFERENTIAL+ALGEBRAIC+EQUATIONS+DAES Search DIFFERENTIAL+ALGEBRAIC+EQUATIONS+DAES
7 IMPASSE POINTS 331299 1% 100% 6 Search IMPASSE+POINTS Search IMPASSE+POINTS
8 SEMISTATE MODEL 331299 1% 100% 6 Search SEMISTATE+MODEL Search SEMISTATE+MODEL
9 PADE SERIES 319460 2% 64% 9 Search PADE+SERIES Search PADE+SERIES
10 INDEX REDUCTION TECHNIQUES 276082 1% 100% 5 Search INDEX+REDUCTION+TECHNIQUES Search INDEX+REDUCTION+TECHNIQUES

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 RIAZA, R , (2010) STABILITY LOSS IN QUASILINEAR DAES BY DIVERGENCE OF A PENCIL EIGENVALUE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 41. ISSUE 6. P. 2226 -2245 29 97% 6
2 MARSZALEK, W , AMDEBERHAN, T , RIAZA, R , (2005) SINGULARITY CROSSING PHENOMENA IN DAES: A TWO-PHASE FLUID FLOW APPLICATION CASE STUDY.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 49. ISSUE 2-3. P. 303-319 27 84% 7
3 MARSZALEK, W , (2012) FOLD POINTS AND SINGULARITY INDUCED BIFURCATION IN INVISCID TRANSONIC FLOW.PHYSICS LETTERS A. VOL. 376. ISSUE 28-29. P. 2032 -2037 17 94% 1
4 RIAZA, R , (2002) STABILITY ISSUES IN REGULAR AND NONCRITICAL SINGULAR DAES.ACTA APPLICANDAE MATHEMATICAE. VOL. 73. ISSUE 3. P. 301-336 29 69% 2
5 RIAZA, R , (2002) SINGULAR BIFURCATIONS IN HIGHER INDEX DIFFERENTIAL-ALGEBRAIC EQUATIONS.DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL. VOL. 17. ISSUE 3. P. 243-261 19 90% 3
6 LIU, H , SONG, YZ , (2011) ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM.ACTA MATHEMATICA SCIENTIA. VOL. 31. ISSUE 2. P. 383 -398 14 88% 0
7 RIAZA, R , TISCHENDORF, C , (2007) QUALITATIVE FEATURES OF MATRIX PENCILS AND DAES ARISING IN CIRCUIT DYNAMICS.DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL. VOL. 22. ISSUE 2. P. 107-131 21 64% 6
8 JOHANNINK, M , MHAMDI, A , MARQUARDT, W , (2016) INDEX ANALYSIS AND REDUCTION OF SYSTEMS OF QUASI-LINEAR PARTIAL-DIFFERENTIAL AND ALGEBRAIC EQUATIONS.COMPUTERS & CHEMICAL ENGINEERING. VOL. 89. ISSUE . P. 41 -52 14 64% 1
9 RIAZA, R , (2006) TIME-DOMAIN PROPERTIES OF REACTIVE DUAL CIRCUITS.INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS. VOL. 34. ISSUE 3. P. 317-340 13 93% 6
10 RIAZA, R , (2010) GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 20. ISSUE 2. P. 451-465 15 71% 0

Classes with closest relation at Level 1


Rank Class id link
1 6637 DESCRIPTOR SYSTEMS//SINGULAR SYSTEMS//STRANGENESS INDEX
2 5101 MULTIBODY SYSTEM DYNAMICS//MULTIBODY SYSTEMS//MULTIBODY DYNAMICS
3 36573 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS
4 18243 FINDING ALL SOLUTIONS//DC ANALYSIS//DC OPERATING POINT
5 19590 COMPUTERS & CHEMICAL ENGINEERING//COMPUTER AIDED MODELING//CAPE OPEN
6 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
7 10974 ITERATIVE DYNAMIC PROGRAMMING//DYNAMIC OPTIMIZATION//CONTROL VECTOR PARAMETERIZATION
8 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
9 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
10 19237 ACYCLIC EDGE COLORING//AUTOMATIC DIFFERENTIATION//COMPUTATIONAL DIFFERENTIATION

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